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Problem of the Week 1110

Round and Round

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Suppose P lies on line A in the plane and Q lies on line B, not parallel to line A. If each line rotates around its point, the rotations being of the same speed and direction, what is the locus of their point of intersection?

Source: John Kiehl, The Wolfram Demonstrations Project. But I can't give the title of the demo as that gives away the answer!

© Copyright 2008 Stan Wagon. Reproduced with permission.

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10 November 2008